To date it was not determined the strong differentiation between the results of computation of shear viscosity on both – the Membrane Paradigm and the Gauge/Gravity Duality – sides. Considering this rational as a guideline, before doing non-trivial computations in the Gauge/Gravity Duality on the Kerr spacetime, we applied technically more simple Membrane Paradigm to compute this and other transport coefficients of the dual fluid. In the course of our studies we recovered old results for the shear and bulk viscosities, which are constants in the Kerr geometry, and got new upshots on the functional dependence on the radial and angle coordinates for other transport coefficients. The shear viscosity value coincides with that of the Schwarzschild geometry; that in particular means hold of the “shear viscosity/entropy density” bound \(\eta /s=\hbar /4\pi k_B\)  known as the KSS bound [1]}. The dual fluid pressure, expansion, energy and momentum densities, being functions of radial and polar angle coordinates, show different properties in dependence on the considered case. For a slowly rotating black hole these quantities may be regular in the range from the location of circular photon orbits to spatial infinity, as it happens in the case of the black hole whose angular momentum value is one percent of the mass squared. For the extremal Kerr black hole solution in the Boyer-Lindquist coordinates the mentioned quantities display complex behavior. In particular, all of them have poles, that in specific cases causes flipping the sign in the vicinity of the singular point.
